Regions of mutually perpendicular electric and magnetic fields can be used to filter a collection of moving charged particles according to their velocity. If we assume that a particle of velocity enters the field region traveling exactly along the -axis, the particle will experience zero net force and therefore zero acceleration and zero deflection from the -axis. If a small, circular aperture of radius is placed on the -axis at , then this particle will be transmitted through the aperture.
(a) Use your program from Exercise 2 to determine the maximum value of for which an aperture of radius mm will transmit the Li ion (now assuming that ). What is the value of ?
(b) Repeat (a) for an aperture of radius mm. What is the value of ?